On the approximate one-d map in Chua's oscillator

Peadar Forbes; Sarah Boyle; Keith O'Donoghue; Michael Peter Kennedy

doi:10.1142/S0218127405013472

On the approximate one-d map in Chua's oscillator

Peadar Forbes
, Sarah Boyle
, Keith O'Donoghue
, Michael Peter Kennedy

School of Engineering and Architecture

University College Cork

Research output: Contribution to journal › Article › peer-review

Abstract

Due to strong contraction in the outer regions of Chua's circuit with piecewise-linear dynamics, the system can be described by an approximate one-dimensional map. We confirm by simulation and experiment that the initial slope of this map is defined by e σ 2π/W1.

Original language	English
Pages (from-to)	2545-2550
Number of pages	6
Journal	International Journal of Bifurcation and Chaos
Volume	15
Issue number	8
DOIs	https://doi.org/10.1142/S0218127405013472
Publication status	Published - Aug 2005

Keywords

Chaos
Chua's oscillator
One-dimensional map
Poincaré map

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10.1142/S0218127405013472

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title = "On the approximate one-d map in Chua's oscillator",

abstract = "Due to strong contraction in the outer regions of Chua's circuit with piecewise-linear dynamics, the system can be described by an approximate one-dimensional map. We confirm by simulation and experiment that the initial slope of this map is defined by e σ 2π/W1.",

keywords = "Chaos, Chua's oscillator, One-dimensional map, Poincar{\'e} map",

author = "Peadar Forbes and Sarah Boyle and Keith O'Donoghue and Kennedy, \{Michael Peter\}",

year = "2005",

month = aug,

doi = "10.1142/S0218127405013472",

language = "English",

volume = "15",

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T1 - On the approximate one-d map in Chua's oscillator

AU - Forbes, Peadar

AU - Boyle, Sarah

AU - O'Donoghue, Keith

AU - Kennedy, Michael Peter

PY - 2005/8

Y1 - 2005/8

N2 - Due to strong contraction in the outer regions of Chua's circuit with piecewise-linear dynamics, the system can be described by an approximate one-dimensional map. We confirm by simulation and experiment that the initial slope of this map is defined by e σ 2π/W1.

AB - Due to strong contraction in the outer regions of Chua's circuit with piecewise-linear dynamics, the system can be described by an approximate one-dimensional map. We confirm by simulation and experiment that the initial slope of this map is defined by e σ 2π/W1.

KW - Chaos

KW - Chua's oscillator

KW - One-dimensional map

KW - Poincaré map

UR - https://www.scopus.com/pages/publications/25844465924

U2 - 10.1142/S0218127405013472

DO - 10.1142/S0218127405013472

M3 - Article

AN - SCOPUS:25844465924

SN - 0218-1274

VL - 15

SP - 2545

EP - 2550

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 8

ER -

On the approximate one-d map in Chua's oscillator

Abstract

Keywords

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